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Strictry Proper Digital Filters with Hypercomplex Coefficients and Reduction of Multiplications in Hypercomplex Algebra

Strictry Proper Digital Filters with Hypercomplex Coefficients and Reduction of Multiplications in Hypercomplex Algebra

In this paper, we consider strictly proper digital filters with hypercomplex coefficients, and we also consider reduction of multiplications in hypercomplex algebra.As for the former problem, the first-order digital filter with hypercomplex coefficients can realize arbitrary-order strictly proper digital filters with real coefficients less than 4, whose order of numerator …